Search a number
-
+
12212232240101 = 131947122380491
BaseRepresentation
bin1011000110110110000111…
…0000111011101111100101
31121020110220110110222011112
42301231201300323233211
53100041122423140401
641550115543314405
72400206333206055
oct261554160735745
947213813428145
1012212232240101
1139891a6800043
12145298ba4ba05
136a77bb00834a
1430310a493565
15162a051dc3bb
hexb1b61c3bbe5

12212232240101 has 16 divisors (see below), whose sum is σ = 12328675020288. Its totient is φ = 12096162764400.

The previous prime is 12212232240071. The next prime is 12212232240107. The reversal of 12212232240101 is 10104223221221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12212232240101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212232240107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151681466 + ... + 151761956.

It is an arithmetic number, because the mean of its divisors is an integer number (770542188768).

Almost surely, 212212232240101 is an apocalyptic number.

It is an amenable number.

12212232240101 is a deficient number, since it is larger than the sum of its proper divisors (116442780187).

12212232240101 is a wasteful number, since it uses less digits than its factorization.

12212232240101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82792.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 12212232240101 its reverse (10104223221221), we get a palindrome (22316455461322).

The spelling of 12212232240101 in words is "twelve trillion, two hundred twelve billion, two hundred thirty-two million, two hundred forty thousand, one hundred one".

Divisors: 1 131 947 1223 80491 124057 160213 1158181 10544321 76224977 98440493 151721711 9985471987 12895704583 93223146871 12212232240101